Question

1.) Solve the system of equations by method of elimination. Show all your work.

2x + 4y = 8
10x – 4y = 16

Answer 1

x=2, y=1

Explanation:

Add:

2x+4y=8

+10x-4y=16

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12x=24

Divide by 12 on both sides:

x=2

Substitute x with 2 on either 2x+4y=8 or 10x-4y=16 it doesn't matter it will result in the same answer.

(I will do both of them to prove it but you only need to replace x with one of the equation)

For 2x+4y=8

2(2)+4y=8

4+4y=8

Subtract 4 on both sides

-4+4+4y=8-4

4y=4

Divide 4 on both sides:

y=1

For 10x-4y=16

10(2)-4y=16

20-4y=16

-20+20-4y=16-20

-4y=-4

Divide -4 on both sides:

y=1

The answer for both 2x + 4y = 8 and 10x – 4y = 16 are the same showing that it doesn't matter which equation you replace the number with it will still result you in the same answer

Hope this helps!